Effective mass of composite fermions and fermionic Chern-Simons theory in the temporal gauge

Article

关键词: FILLED LANDAU-LEVEL;    LOW-ENERGY PROPERTIES;    QUANTUM HALL STATES;    RESPONSE FUNCTIONS;    VORTEX DYNAMICS;    LIQUID;    SYSTEMS;    FIELD;    SUPERCONDUCTORS;    EXCITATIONS;   

DOI  :  10.1103/PhysRevB.57.9897

来源: SCIE

【 摘 要 】

The definitions of the effective mass for the composite fermion are discussed in half filled lowest-Landau-level systems. In a recent work, Shankar and Murthy show a finite effective mass for the composite fermion using a canonical transformation, while the perturbative calculation gives the logarithmic divergent one at the Fermi surface. We emphasize that the definition of the effective mass depends on how strong the low-frequency Chern-Simons fluctuations are in the physical process. We work with the standard Halperin-Lee-Read model in the temporal gauge. The advantage of this gauge is that the finite effective mass may be calculated in the Hartree-Fock approximation. Furthermore, it is precisely equal to the result obtained by Shankar and Murthy, which fits very well the numerical calculation from the ground-state energy analysis as well as the semiclassical estimation. However, if we consider further the random-phase approximation, we find that the divergence of the effective mass at the Fermi surface emerges again whether we work. with the temporal or Coulomb gauge. On the other hand, the behavior of the response functions in the small band mass limit is discussed systematically in the lowest-order calculation if there exists a self-interaction among the magnetoplasmons. [S0163-1829(98)00516-5].

【 授权许可】

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